A game consists of randomly choosing a bag out of a choice of 100 and then again randomly,picking a ball from it. Each bag has the same total number of balls

Question

asked May 19, 2022 90.2k views

1 Answer

Waad Mawlood · Answer 1 · 2022-05-24T10:12:47+0000

Answer:

P(Red) = 0.44

Explanation:

The question required a tree diagram (see attachment)

Required

Determine P(Red)

To do this, we simply each path that leads to red on the attached tree.

So, we have:

$Red\ 1 = 0.35 * 0.6$

$Red\ 2 = 0.45 * 0.2$

$Red\ 3 = 0.20 * 0.7$

P(Red) is then calculated as:

$P(Red) = Red\ 1 + Red\ 2 + Red\ 3$

P(Red) = 0.35 * 0.6 + 0.45 * 0.2 + 0.20 * 0.7

P(Red) = 0.44

Hence, the probability of selecting Red is 0.44